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Finding the Fourth Proportional to 405,995.34, 609,033.96 and 139,720.80

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Solution

The fourth proportional to 405,995.34, 609,033.96 and 139,720.80 is: 209,595.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,995.34 : 609,033.96 = 139,720.80 : x
  2. Step 2: Convert to fraction form
    405,995.34/609,033.96 = 139,720.80/x
  3. Step 3: Cross multiply
    405,995.34x = 609,033.96 × 139,720.80
  4. Step 4: Simplify right side
    405,995.34x = 85,094,712,118.37
  5. Step 5: Solve for x
    x = 85,094,712,118.37/405,995.34
  6. Step 6: Final answer
    x = 209,595.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.